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Distinct figures of Circle and Triangle (Posted on 2019-04-21) |
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ABC is a right triangle with legs a and b and hypotenuse c. Two circles of radius r are placed inside the triangle, the first tangent to a and c, the second tangent to b and c, and both circles externally tangent to each other. What is the smallest possible area of the triangle if a, b, c and r are distinct integers?
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